126202560 has 448 divisors, whose sum is σ = 500359680. Its totient is φ = 26542080.

The previous prime is 126202537. The next prime is 126202561. The reversal of 126202560 is 65202621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 126202560.

It is not an unprimeable number, because it can be changed into a prime (126202561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3410862 + ... + 3410898.

Almost surely, 2^126202560 is an apocalyptic number.

126202560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250179840).

126202560 is an abundant number, since it is smaller than the sum of its proper divisors (374157120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126202560 is a wasteful number, since it uses less digits than its factorization.

126202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 126202560 is about 11233.9912764787. The cubic root of 126202560 is about 501.5982987715.

The spelling of 126202560 in words is "one hundred twenty-six million, two hundred two thousand, five hundred sixty".